NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 3 (ii)

Question:

For the following APs, write the first term and the common difference: – 5, – 1, 3, 7, . . .

Given:

Arithmetic Progression (AP): – 5, – 1, 3, 7, . . .

To Find:

First term (a) and common difference (d)

Formula:

Common difference (d) = a₂ - a₁ = a₃ - a₂ = ...

Solution:

First term (a) is the first number in the sequence.

⇒ a = – 5

Common difference (d) is the difference between consecutive terms.

⇒ d = a₂ - a₁ = –1 – (–5) = –1 + 5 = 4

Alternatively, d = a₃ - a₂ = 3 – (–1) = 3 + 1 = 4

Result:

First term (a) = – 5

Common difference (d) = 4

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 3 (iii).

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